User:VIxen/Temperament proposals
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Kibi
This temperament is heavily tailored towards 19-limit use with the 33/19 equave, inspired by that the smallest 19-limit superparticular is (91/10) × (33/19)-4. It was named after minor planet 3319.
In the 33/19.2.3.5.7.11.13.17 basis of the full 19-limit subgroup, it is q23 & q82 & q282 (with equave 2/1, it is 29g & 103p & 354), and a Fokker block of 23 notes per equave is available, corresponding to the 29g val, although it is complex - perhaps the simplest of the highly available intervals is 7/5 - with a preference for open harmonies, and just about enough to contain the chord of prime harmonics (1:2:3:5:7:11:13:17:19) on one root per equave.
Extensions to higher limits, perhaps 31-limit at least, seem possible but will require using blocks of 82 notes corresponding to the 103p val.
Data for equave 2/1 is provided below for compatibility. The TE error is small enough - 0.012 cents/octave - but the complexity of most intervals involving powers of 2 is high like in ennealimmal, which makes the badness high.
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 1275/1274, 1575/1573, 2601/2600, 2720/2717, 4394/4389
Mapping: [⟨1 0 23 29 26 23 36 15], ⟨0 1 0 0 1 0 -1 -2], ⟨0 0 -30 -38 -35 -28 -44 -11]]
Mapping generators: ~2, ~3, ~931/578
Badness: 3.19 × 10-3